Series RTEQ.P. Code 38/1/1
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Periodic Test 1
Time allowed : 1½ HoursMaximum Marks : 40
General Instructions :
Read the following instructions carefully and follow them :
(i)This question paper contains 20 questions. All questions are compulsory.
(ii)This question paper is divided into four sections – A, B, C and D.
(iii)In Section A, Question numbers 1 to 10 carry 1 mark each.
(iv)In Section B, Question numbers 11 to 14 are very short answer (VSA) type questions carrying 02 marks each.
(v)In Section C, Question numbers 15 to 18 are short answer (SA) type questions carrying 03 marks each.
(vi)In Section D, Question numbers 19 to 20 are long answer (LA) type questions carrying 05 marks each.
(vii)Draw neat figures wherever required. Take π = 22/7 wherever required, if not stated.
(viii)Use of calculators is not allowed.
SECTION A
This section comprises 10 questions of 1 mark each.
1.1
What are triangular numbers? Write the first 5 triangular numbers.
2.1
What are square numbers? Write the first 5 square numbers.
3.1
Write the next three terms: 1, 8, 27, 64, ___
4.1
What is the rule for the pattern: 2, 5, 10, 17, 26, ___?
5.1
How many dots are in the 6th triangular number pattern?
6.1
What is a reflex angle? Give its range in degrees.
7.1
What are vertically opposite angles?
8.1
If two angles are in ratio 2:3 and they are supplementary, find each angle.
9.1
What is the sum of all angles around a point?
10.1
Name the angle formed between the hour and minute hand of a clock at 3 oclock.
SECTION B
This section comprises 4 very short answer (VSA) type questions of 2 marks each.
11.2
The pattern of odd numbers is 1, 3, 5, 7, 9... (a) Write the sum of first 4 odd numbers. (b) Write the sum of first 5 odd numbers. (c) What pattern do you notice in the sums?
12.2
Observe: 1=1, 1+3=4, 1+3+5=9, 1+3+5+7=16. (a) Write the next two lines. (b) Find the sum of first 10 odd numbers. (c) What mathematical concept does this illustrate?
13.2
A clock shows 4 oclock. (a) What angle does the minute hand make with the hour hand? (b) What type of angle is this? (c) What will the angle be at 8 oclock?
14.2
In a triangle the angles are in ratio 1:2:3. (a) Find each angle. (b) What type of triangle is this? (c) What is the largest angle?
SECTION C
This section comprises 4 short answer (SA) type questions of 3 marks each.
15.3
Pascal triangle starts: Row 1: 1, Row 2: 1 1, Row 3: 1 2 1, Row 4: 1 3 3 1. (a) Write Row 5 and Row 6. (b) What is the sum of numbers in Row 5? (c) What pattern do you see in the row sums?
16.3
A pattern of L-shaped figures is made with dots. Figure 1 has 3 dots, Figure 2 has 5 dots, Figure 3 has 7 dots. (a) How many dots in Figure 10? (b) Which figure has 25 dots? (c) Write a general formula. (d) Find the total dots in first 5 figures. (e) What type of numbers appear in this pattern?
17.3
Lines AB and CD intersect at point O. Angle AOC = 3x + 10 and angle BOD = 5x - 30. (a) Write an equation using the property of vertically opposite angles. (b) Solve for x. (c) Find all four angles at O.
18.3
A transversal crosses two lines making alternate interior angles of (2x+15) and (3x-10) degrees. (a) Are the two lines parallel? Set up equation. (b) Find x and all angles. (c) Find the co-interior angles and verify they add to 180 degrees. (d) Name all pairs of corresponding angles. (e) What would happen to all angle relationships if the lines were not parallel?
SECTION D
This section comprises 2 long answer (LA) type questions of 5 marks each.
19.5
Meera notices that 1² = 1, 11² = 121, 111² = 12321, 1111² = 1234321. (a) Write the next two terms of this pattern. (b) Without calculating verify that 111111² follows the pattern. (c) What is the digit sum of 111111²? (d) How many digits does 111111² have? (e) Explain why this pattern works using place value.
20.5
In a triangle ABC angle A = 50 degrees and angle B = 70 degrees. A line DE is drawn parallel to BC cutting AB at D and AC at E. (a) Find angle C in triangle ABC. (b) Find angle ADE. (c) Find angle AED. (d) What do you notice about triangles ABC and ADE? (e) If AD = 3 cm and AB = 6 cm, what fraction of AB is AD?
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